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Finding the Fourth Proportional to 14,019.90, 19,347.49 and 7,646.50

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Solution

The fourth proportional to 14,019.90, 19,347.49 and 7,646.50 is: 10,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.90 : 19,347.49 = 7,646.50 : x
  2. Step 2: Convert to fraction form
    14,019.90/19,347.49 = 7,646.50/x
  3. Step 3: Cross multiply
    14,019.90x = 19,347.49 × 7,646.50
  4. Step 4: Simplify right side
    14,019.90x = 147,940,616.03
  5. Step 5: Solve for x
    x = 147,940,616.03/14,019.90
  6. Step 6: Final answer
    x = 10,552.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.